Greta added 3/6 of a cup of sugar to her cake mix, then
sprinkled 1/6 of a cup of sugar over the top of the finished
cake. which fraction represents the total amount of sugar
that greta used for the cake? express the answer in lowest
terms.
1/6 of a cup
1/2 of a cup
3/6 of a cup
2/3 of a cup

The total amount of sugar used=2/3 of a cup

Step-by-step explanation:

The expression for the total amount of sugar used for the cake is;

T=S+O

where;

T=total amount of sugar

S=amount initially added

O=amount sprinkled over the top

This expression can also be written as;

Total amount of sugar=amount initially added+amount sprinkled over the top

In our case;

S=3/6 cup

O=1/6

replacing;

T=(3/6)+(1/6)=4/6 in its lowest form=2/3

The total amount of sugar used=2/3 of a cup

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3